I installed Lubuntu in a USB 3.0 16GB Flash Drive, and it worked fine.
The only problem that I had was with my Broadcom 802.11n Wireless Driver, it was not being recognized and I solved using the driver provided in the Broadcom's official website.
I used the "offline" method, using XTERM command's:
make modprobe lib80211 modprobe cfg80211 insmod wl.ko
And it worked!
BUT, I have to do it, EVERY TIME I restart my computer :(
I was thinking about developing a shell script to execute the commands, but, is there another way?
(It surely is persistent)
Info added: I installed full system on the flash drive, it requires my password when I start it.